| Abstract: | We obtain the solution of the stationary heat-conduction problem for a space with a cubic cavity under the assumption that
the coefficient of thermal conductivity depends on the temperature. The surfaces of the cavity are subject to heat flux. By
using the Kirchhoff variable and the method of continuation of functions we reduce the problem to a linear differential equation
with singular coefficients on the right-hand side. We conduct a numerical study of the temperature distribution as a function
of the spatial coordinate and the Kirpichev criterion that characterizes the thermal flux density.
Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 37, 1994, pp. 94–100. |
